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57 Publications
2024 | Journal Article | LibreCat-ID: 53300
Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting
D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).
LibreCat
| DOI
D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).
2024 | Journal Article | LibreCat-ID: 53542
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces
E. Papageorgiou, Journal of Evolution Equations 24 (2024).
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| DOI
E. Papageorgiou, Journal of Evolution Equations 24 (2024).
2023 | Journal Article | LibreCat-ID: 53540
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds
E. Papageorgiou, Potential Analysis (2023).
LibreCat
| DOI
E. Papageorgiou, Potential Analysis (2023).
2023 | Journal Article | LibreCat-ID: 53539
Asymptotics for the infinite Brownian loop on noncompact symmetric spaces
E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).
LibreCat
| DOI
E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023).
2023 | Journal Article | LibreCat-ID: 53538
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023).
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| DOI
G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023).
2023 | Journal Article | LibreCat-ID: 36294
The Dunkl-Laplace transform and Macdonald’s hypergeometric series
D. Brennecken, M. Rösler, Transactions of the American Mathematical Society 376 (2023) 2419–2447.
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| DOI
D. Brennecken, M. Rösler, Transactions of the American Mathematical Society 376 (2023) 2419–2447.
2022 | Journal Article | LibreCat-ID: 38039
Elementary symmetric polynomials and martingales for Heckman-Opdam processes
M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262.
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| DOI
M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262.
2022 | Journal Article | LibreCat-ID: 40053
Potential kernels for radial Dunkl Laplacians
P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033.
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| DOI
P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033.
2021 | Journal Article | LibreCat-ID: 37659
Positive intertwiners for Bessel functions of type B
M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 1151–1163.
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| DOI
M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 1151–1163.
2021 | Journal Article | LibreCat-ID: 36271
Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
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| DOI
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
2020 | Journal Article | LibreCat-ID: 37660
Riesz distributions and Laplace transform in the Dunkl setting of type A
M. Rösler, Journal of Functional Analysis 278 (2020).
LibreCat
| DOI
M. Rösler, Journal of Functional Analysis 278 (2020).
2020 | Journal Article | LibreCat-ID: 40051
Multiple Points of Operator Semistable Lévy Processes
T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179.
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| DOI
T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179.
2018 | Journal Article | LibreCat-ID: 37661
Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones
M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.
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| DOI
M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.
2018 | Journal Article | LibreCat-ID: 37662
On the Green Function and Poisson Integrals of the Dunkl Laplacian
M. Rösler, P. Graczyk, T. Luks, Potential Analysis 48 (2018) 337–360.
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| DOI
M. Rösler, P. Graczyk, T. Luks, Potential Analysis 48 (2018) 337–360.
2018 | Journal Article | LibreCat-ID: 40050
Space‐time fractional Dirichlet problems
B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018) 2516–2535.
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| DOI
B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018) 2516–2535.
2017 | Journal Article | LibreCat-ID: 40065
On the Double Points of Operator Stable Lévy Processes
T. Luks, Y. Xiao, Journal of Theoretical Probability 30 (2017) 297–325.
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| DOI
T. Luks, Y. Xiao, Journal of Theoretical Probability 30 (2017) 297–325.
2017 | Journal Article | LibreCat-ID: 40049
On the Green Function and Poisson Integrals of the Dunkl Laplacian
P. Graczyk, T. Luks, M. Rösler, Potential Analysis 48 (2017) 337–360.
LibreCat
| DOI
P. Graczyk, T. Luks, M. Rösler, Potential Analysis 48 (2017) 337–360.
2016 | Journal Article | LibreCat-ID: 38032
Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC
M. Rösler, M. Voit, Transactions of the American Mathematical Society 368 (2016) 6005–6032.
LibreCat
| DOI
M. Rösler, M. Voit, Transactions of the American Mathematical Society 368 (2016) 6005–6032.
2016 | Journal Article | LibreCat-ID: 37663
A multivariate version of the disk convolution
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435 (2016) 701–717.
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| DOI
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435 (2016) 701–717.
2016 | Journal Article | LibreCat-ID: 40066
Hardy–Stein identities and square functions for semigroups
R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 462–478.
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| DOI
R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 462–478.
2015 | Journal Article | LibreCat-ID: 38037
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 11 (2015) 18pp.
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| DOI
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 11 (2015) 18pp.
2014 | Journal Article | LibreCat-ID: 37667
Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians
M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48.
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| DOI
M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48.
2014 | Journal Article | LibreCat-ID: 40068
On Hardy spaces of local and nonlocal operators
K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.
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| DOI
K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.
2013 | Journal Article | LibreCat-ID: 37672
Limit transition between hypergeometric functions of type BC and type A
M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400.
LibreCat
| DOI
M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400.
2013 | Journal Article | LibreCat-ID: 38038
Olshanski spherical functions for infinite dimensional motion groups of fixed rank
M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.
LibreCat
| DOI
M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.
2013 | Journal Article | LibreCat-ID: 40072
Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane
T. Luks, Potential Analysis 39 (2013) 29–67.
LibreCat
| DOI
T. Luks, Potential Analysis 39 (2013) 29–67.
2013 | Journal Article | LibreCat-ID: 40070
Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.
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| DOI
P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.
2011 | Journal Article | LibreCat-ID: 40073
Hardy spaces for the Laplacian with lower order perturbations
T. Luks, Studia Mathematica 204 (2011) 39–62.
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| DOI
T. Luks, Studia Mathematica 204 (2011) 39–62.
2011 | Journal Article | LibreCat-ID: 39911
The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform
M. Rösler, H. Remling, International Mathematics Research Notices (2011) 4200–4225.
LibreCat
| DOI
M. Rösler, H. Remling, International Mathematics Research Notices (2011) 4200–4225.
2011 | Journal Article | LibreCat-ID: 39921
Limit theorems for radial random walks on p × q-matrices as p tends to infinity
M. Rösler, M. Voit, Mathematische Nachrichten 284 (2011) 87–104.
LibreCat
| DOI
M. Rösler, M. Voit, Mathematische Nachrichten 284 (2011) 87–104.
2010 | Journal Article | LibreCat-ID: 39924
Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC
M. Rösler, Journal of Functional Analysis 258 (2010) 2779–2800.
LibreCat
| DOI
M. Rösler, Journal of Functional Analysis 258 (2010) 2779–2800.
2009 | Conference Paper | LibreCat-ID: 39950
Convolution algebras for multivariable Bessel functions
M. Rösler, in: Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271.
LibreCat
| DOI
M. Rösler, in: Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271.
2008 | Journal Article | LibreCat-ID: 39941
A Limit Relation for Dunkl-Bessel Functions of Type A and B
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 4 (2008) 9pp.
LibreCat
| DOI
M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 4 (2008) 9pp.
2007 | Journal Article | LibreCat-ID: 39947
Bessel convolutions on matrix cones
M. Rösler, Compositio Mathematica 143 (2007) 749–779.
LibreCat
| DOI
M. Rösler, Compositio Mathematica 143 (2007) 749–779.
2006 | Journal Article | LibreCat-ID: 39948
SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts
M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
LibreCat
| DOI
M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
2005 | Journal Article | LibreCat-ID: 39951
Radial Multiresolution in Dimension Three
M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.
LibreCat
| DOI
M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.
2005 | Conference Paper | LibreCat-ID: 39949
Deformations of convolution semigroups on commutative hypergroups
M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264.
LibreCat
| DOI
M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264.
2004 | Journal Article | LibreCat-ID: 40320
Positivity of Dunkl's intertwining operator via the trigonometric setting
M. Rösler, M. Voit, International Mathematics Research Notices (2004) 3379–3389.
LibreCat
| DOI
M. Rösler, M. Voit, International Mathematics Research Notices (2004) 3379–3389.
2003 | Book Chapter | LibreCat-ID: 39956
Dunkl Operators: Theory and Applications
M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.
LibreCat
| DOI
M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.
2003 | Journal Article | LibreCat-ID: 39957
A positive radial product formula for the Dunkl kernel
M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.
LibreCat
| DOI
M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.
2002 | Journal Article | LibreCat-ID: 39959
Asymptotic Analysis for the Dunkl Kernel
M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.
LibreCat
| DOI
M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.
2000 | Conference Paper | LibreCat-ID: 40172
Short-time estimates for heat kernels associated with root systems
M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.
LibreCat
| DOI
M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.
2000 | Conference Paper | LibreCat-ID: 40652
One-parameter semigroups related to abstract quantum models of Calogero type
M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.
LibreCat
M. Rösler, in: Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.
1999 | Journal Article | LibreCat-ID: 40184
An uncertainty principle for the Dunkl transform
M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
LibreCat
| DOI
M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
1999 | Journal Article | LibreCat-ID: 40189
Positivity of Dunkl’s intertwining operator
M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
LibreCat
| DOI
M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
1999 | Journal Article | LibreCat-ID: 40192
Partial Characters and Signed Quotient Hypergroups
M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
LibreCat
| DOI
M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
1999 | Journal Article | LibreCat-ID: 40666
An uncertainty principle for Hankel transforms
M. Rösler, Proceedings of the American Mathematical Society 127 (1999) 183–194.
LibreCat
M. Rösler, Proceedings of the American Mathematical Society 127 (1999) 183–194.
1998 | Journal Article | LibreCat-ID: 40197
Biorthogonal polynomials associated with reflection groups and a formula of Macdonald
M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.
LibreCat
| DOI
M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.
1998 | Journal Article | LibreCat-ID: 40200
Markov Processes Related with Dunkl Operators
M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.
LibreCat
| DOI
M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.
1997 | Journal Article | LibreCat-ID: 40205
An Uncertainty Principle for Ultraspherical Expansions
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.
LibreCat
| DOI
M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.